Step-by-step explanation:
Number of sides of the given polygon, n =5
Sum of interior angles =( n-2)180°
=( 5 - 2)180°
= 3*180°
= 540°
Missing angle, x = 540°- (100°+105°+110°+145°)
= 540°- 460°
= 80°
Answer:
x = 130 degrees
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the sum of opposite interior angles equal the opposite exterior angles
In the triangle, we have only one interior angle
Now, as we can see, the angle that measures 150 is on a straight line with one of the angles in the triangle
Mathematically, the sum of angles on a straight line is 180
So we have it that the given angle in the triangle would be (180-150)
If we add this to the 100, we have the exterior angle which is x
Thus, we have it that;
x = 100 + (180-150)
x = 100 + 30
x = 130 degrees
Answer:
d. g(x) = 5/3 * f(x)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. Transforming an object involves transforming all the points in the object. Types of transformation are rotation, reflection, dilation and translation.
From the graph When x = 0, y = f(0) = 30, also when x = 16, y = f(16) = 40
For the graph of g(x), when x = 0, y = g(0) = 50 and when x = 16, y = g(16) = 67
This means that g(x) = 5/3 * f(x), g(0) = 5/3 * f(0) = 5/3 * 30 = 50, also g(16) = 5/3 * f(16) = 5/3 * 40 = 67
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
we know that
the equation
describe a vertical parabola with vertex at point
if -------> the parabola open Up and the vertex is a minimum
if -------> the parabola open Down and the vertex is a maximum
in this problem we have
---> because is positive (given problem)
so
The vertex is a minimum
therefore
<u>the answer is the option C</u>
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